College Algebra (10th Edition)

Published by Pearson

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding - Page 15: 21

Answer

$\overline{A} \cup \overline{B}=\left\{0, 1, 2, 3, 5, 6, 7, 8, 9\right\}$

Work Step by Step

RECALL: (1) $\overline{B}$ is the complement of set $B$, which is the set that contains the elements of the universal set that are not elements of $B$. (2) $\cup$ represents the union of two sets, which is the set that contains the combined elements of the two given sets. Use (1) above to obtain: $\overline{A}=\left\{0, 2, 6, 7, 8\right\}$ $\overline{B} = \left\{0, 1, 3, 5, 9\right\}$ Use rule (2) above to obtain: $\overline{A} \cup \overline{B}=\left\{0, 1, 2, 3, 5, 6, 7, 8, 9\right\}$

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